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Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means
Journal of Inequalities and Applications, 2023 We prove and discuss some new weak type ( 1 , 1 ) $(1,1 ) $ inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means.
Davit Baramidze +3 more
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On almost-everywhere convergence of Malmquist-Takenaka Series [PDF]
Journal of Functional Analysis, 2021 The Malmquist-Takenaka system is a perturbation of the classical trigonometric system, where powers of z are replaced by products of other Möbius transforms of the disc.
G. Mnatsakanyan
semanticscholar +3 more sources
Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods
Mediterranean Journal of Mathematics, 2022 The concept of Vilenkin–Lebesgue points was introduced in [ 12 ], where the almost everywhere convergence of Fejer means of Vilenkin–Fourier series was proved.
Ferenc Weisz
exaly +2 more sources
Almost everywhere convergence of prolate spheroidal series [PDF]
Illinois Journal of Mathematics, 2020 In this paper, we show that the expansions of functions from $L^p$-Paley-Wiener type spaces in terms of the prolate spheroidal wave functions converge almost everywhere for ...
Philippe Jaming, Michael Speckbacher
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Almost everywhere convergence of spline sequences [PDF]
Israel Journal of Mathematics, 2017 We prove the analogue of the Martingale Convergence Theorem for polynomial spline sequences. Given a natural number k and a sequence (ti) of knots in [0, 1] with multiplicity ≤ k − 1, we let Pn be the orthogonal projection onto the space of spline ...
P. Müller, M. Passenbrunner
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Almost Everywhere Convergence of Entangled Ergodic Averages [PDF]
Integral Equations and Operator Theory, 2015 We study pointwise convergence of entangled averages of the form $$\begin{aligned} \frac{1}{N^k}\sum _{1\le n_1,\ldots , n_k\le N} T_m^{n_{\alpha (m)}}A_{m-1}T^{n_{\alpha (m-1)}}_{m-1}\cdots A_2T_2^{n_{\alpha (2)}}A_1T_1^{n_{\alpha (1)}} f, \end{aligned}$
Dávid Kunszenti-Kovács
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Matrix transformations of sequences and applications in Fourier analysis [PDF]
HeliyonIn the presented paper we consider a sequence and its Nörlud and a generalized mean derived from a matrix transformation. Furthermore, sufficient conditions for the matrix are found which implies the converges of the generalized matrix means from the ...
Ushangi Goginava +3 more
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Convergence Almost Everywhere of Partial Sums and Féjer Means of Vilenkin–Fourier Series
Mediterranean Journal of MathematicsWe characterize subsequences {Snk}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
Giorgi Tephnadze, L E Persson
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The surprising almost everywhere convergence of Fourier–Neumann series
Journal of Computational and Applied Mathematics, 2009 For most orthogonal systems and their corresponding Fourier series, the study of the almost everywhere convergence for functions in Lp requires very complicated research, harder than in the case of the mean convergence. For instance, for trigonometric series, the almost everywhere convergence for functions in L2 is the celebrated Carleson theorem ...
Oscar Ciaurri, Juan Luis Varona
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On Another Type of Convergence for Intuitionistic Fuzzy Observables
Mathematics, 2023 The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
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